SOLUTION: If we have 2 circles that intersect... each one attaching to the midpoint of the other circle, how do we explain using information about circle, why you know that the sides are all

Algebra ->  Circles -> SOLUTION: If we have 2 circles that intersect... each one attaching to the midpoint of the other circle, how do we explain using information about circle, why you know that the sides are all      Log On


   

Question 540930: If we have 2 circles that intersect... each one attaching to the midpoint of the other circle, how do we explain using information about circle, why you know that the sides are all the same length.(Which would be a triangle drawn in the intersection between both circles) Please help me... Thank you :)
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the circumference of the first circle goes through the center of the second circle.
the circumference of the second circle goes through the center of the first circle.
the line that connects the 2 centers of the circles is equal to the radius of each of the circles.
the circumference of the 2 circles will intersect at a point above and below line connecting the common radius.
if you draw a line from the center of each circle to that point, then those lines will be equal to the radius of their respective circles.
each line of the triangle formed is equal to the radius of each of the circles.
the radius of the first circle is equal to the radius of the second circle (congruent might be a better term).
the triangle formed is an equilateral triangle.
see the attached diagram.
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